Proximinality Properties in Lp(μ, X) and Polyhedral Direct Sums of Banach Spaces

DOI10.1080/01630563.2013.841195zbMath1293.41017OpenAlexW2058483191MaRDI QIDQ4979794

C. R. Jayanarayanan

Publication date: 19 June 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.841195

zbMATH Keywords

proximinalitystrong proximinalityspace of Bochner integrable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Cites Work

• Unnamed Item
• Polyhedral direct sums of Banach spaces, and generalized centers of finite sets
• \(M\)-ideals in Banach spaces and Banach algebras
• Approximation theory in tensor product spaces
• Geometry of Banach spaces. Selected topics
• Proximinality in \(L_p(\mu,X)\)
• The two‐ball property: transitivity and examples
• The $n$-ball properties in real and complex Banach spaces.
• Strong proximinality and polyhedral spaces

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